Finding the Third Proportional to 199,904 and 471,904
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Solution
The third proportional to 199,904 and 471,904 is: 1,114,001.65
Step by Step Solution
- Step 1: Write the proportion equation
199,904 : 471,904 = 471,904 : x - Step 2: Convert to fraction form
199,904/471,904 = 471,904/x - Step 3: Cross multiply
199,904x = 471,904 × 471,904 - Step 4: Simplify right side
199,904x = 222,693,385,216 - Step 5: Solve for x
x = 222,693,385,216/199,904 - Step 6: Final answer
x = 1,114,001.65
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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.